{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,22]],"date-time":"2025-10-22T18:10:46Z","timestamp":1761156646390,"version":"3.38.0"},"reference-count":33,"publisher":"SAGE Publications","issue":"10","license":[{"start":{"date-parts":[[2019,3,7]],"date-time":"2019-03-07T00:00:00Z","timestamp":1551916800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"DOI":"10.13039\/501100001809","name":"national natural science foundation of china","doi-asserted-by":"publisher","award":["61703414"],"award-info":[{"award-number":["61703414"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering"],"published-print":{"date-parts":[[2019,11]]},"abstract":"<jats:p> Stratospheric airships are important platforms for near-space enduring cruising capability for several applications. Since energy shortage is one of major limiting factors in stratospheric airship, it is crucial to develop novel methods to reduce the requirement on energy systems. In this article, optimal trajectory of stratospheric airship in gradient wind fields is investigated in order to reduce energy consumption. First, polynomial expressions for wind gradients are assumed, and three-dimensional point mass airship equations of motion are used. Then the variety characters of energy for stratospheric airship are studied, the minimum power output of power system is taken as the optimizing target, and collocation approach is used to convert the trajectory optimization problem into parameters optimization. The characters of stratospheric airship\u2019s cruising in three typical wind field are analyzed, including control and state parameters time histories, power changes for airship system, and so on. This research work shows that the greater the wind gradient, the more favorable to reduce energy consumptions, but the speed of the gradient wind cannot be too high. <\/jats:p>","DOI":"10.1177\/0959651819832723","type":"journal-article","created":{"date-parts":[[2019,3,7]],"date-time":"2019-03-07T13:20:37Z","timestamp":1551964837000},"page":"1329-1339","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Trajectory optimization and control of stratospheric airship in cruising"],"prefix":"10.1177","volume":"233","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5518-9029","authenticated-orcid":false,"given":"Bing-Jie","family":"Zhu","sequence":"first","affiliation":[{"name":"College of Aerospace Science and Engineering, National University of Defense Technology, Changsha, China"}]},{"given":"Xi-Xiang","family":"Yang","sequence":"additional","affiliation":[{"name":"College of Aerospace Science and Engineering, National University of Defense Technology, Changsha, China"}]},{"given":"Xiao-Long","family":"Deng","sequence":"additional","affiliation":[{"name":"College of Aerospace Science and Engineering, National University of Defense Technology, Changsha, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6619-5061","authenticated-orcid":false,"given":"Zhen-Yu","family":"Ma","sequence":"additional","affiliation":[{"name":"College of Aerospace Science and Engineering, National University of Defense Technology, Changsha, China"}]},{"given":"Zhong-Xi","family":"Hou","sequence":"additional","affiliation":[{"name":"College of Aerospace Science and Engineering, National University of Defense Technology, Changsha, China"}]},{"given":"Gao-Wei","family":"Jia","sequence":"additional","affiliation":[{"name":"College of Aerospace Science and Engineering, National University of Defense Technology, Changsha, China"}]}],"member":"179","published-online":{"date-parts":[[2019,3,7]]},"reference":[{"key":"bibr1-0959651819832723","doi-asserted-by":"publisher","DOI":"10.2514\/1.24865"},{"key":"bibr2-0959651819832723","first-page":"6","volume":"27","author":"Dahai L","year":"2006","journal-title":"Spacecraft Recov Remote Sens"},{"key":"bibr3-0959651819832723","doi-asserted-by":"publisher","DOI":"10.1007\/s11277-006-9184-9"},{"key":"bibr4-0959651819832723","doi-asserted-by":"publisher","DOI":"10.5139\/IJASS.2012.13.2.170"},{"key":"bibr5-0959651819832723","first-page":"1386","volume":"65","author":"Yuanqing W","year":"2018","journal-title":"IEEE T Circuits: I"},{"key":"bibr6-0959651819832723","doi-asserted-by":"publisher","DOI":"10.1016\/j.paerosci.2010.10.001"},{"first-page":"1","volume-title":"AIAA guidance, navigation, and control conference","author":"Mueller JB","key":"bibr7-0959651819832723"},{"first-page":"1","volume-title":"11th AIAA aviation technology, integration, and operations (ATIO) conference","author":"Garg AK","key":"bibr8-0959651819832723"},{"key":"bibr9-0959651819832723","doi-asserted-by":"publisher","DOI":"10.1016\/j.enconman.2016.12.080"},{"key":"bibr10-0959651819832723","doi-asserted-by":"publisher","DOI":"10.1126\/science.1182497"},{"first-page":"1","volume-title":"2nd AIAA international energy conversion engineering conference","author":"Bolonkin A","key":"bibr11-0959651819832723"},{"key":"bibr12-0959651819832723","doi-asserted-by":"publisher","DOI":"10.2514\/2.5079"},{"key":"bibr13-0959651819832723","first-page":"155","volume":"10","author":"Bestaoui Y","year":"2013","journal-title":"J Aerosp Inf Syst"},{"key":"bibr14-0959651819832723","doi-asserted-by":"publisher","DOI":"10.1139\/tcsme-2016-0015"},{"key":"bibr15-0959651819832723","doi-asserted-by":"publisher","DOI":"10.1061\/(ASCE)AS.1943-5525.0000814"},{"key":"bibr16-0959651819832723","doi-asserted-by":"publisher","DOI":"10.1177\/0954410017735128"},{"key":"bibr17-0959651819832723","doi-asserted-by":"publisher","DOI":"10.1109\/TII.2018.2815531"},{"key":"bibr18-0959651819832723","doi-asserted-by":"publisher","DOI":"10.1108\/AEAT-11-2014-0200"},{"key":"bibr19-0959651819832723","doi-asserted-by":"publisher","DOI":"10.2514\/1.41270"},{"first-page":"1","volume-title":"AIAA 3rd \u201cunmanned unlimited\u201d technical conference, workshop and exhibit","author":"Mueller JB","key":"bibr20-0959651819832723"},{"key":"bibr21-0959651819832723","doi-asserted-by":"publisher","DOI":"10.2514\/1.27344"},{"key":"bibr22-0959651819832723","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-007-2663-5"},{"key":"bibr23-0959651819832723","volume-title":"Modeling and simulation of aerospace vehicle dynamics","author":"Zipfel PH.","year":"2006","edition":"2"},{"key":"bibr24-0959651819832723","unstructured":"Tuckerman BL. 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